Forces on a hinged board used as a lever

A 3 m board of mass 4.5 kg is hinged at one end. A force F is applied vertically at the other end to lift a 75 kg block, which rests on the board 80 cm from the hinge, as shown in Figure 12-35.

(b) Find the force exerted by the hinge at this angle. (in components)
(c) Find the magnitude of the force F if this force is exerted perpendicular to the board when = 30°.
(d) Find the force exerted by the hinge in this case (in components)